Supergravity flows and D-brane stability

Abstract

We investigate the correspondence between existence/stability of BPS states in type II string theory compactified on a Calabi-Yau manifold and BPS solutions of four dimensional N=2 supergravity. Some paradoxes emerge, and we propose a resolution by considering composite configurations. This in turn gives a smooth effective field theory description of decay at marginal stability. We also discuss the connection with 3-pronged strings, the Joyce transition of special Lagrangian submanifolds, and Pi-stability.

40 pages, 13 figures, reference added

Cited by in corpus (329)

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• Black Hole Attractors and the Topological String
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Four-dimensional wall-crossing via three-dimensional field theory
• Infinite Distances in Field Space and Massless Towers of States
• Exact Counting of Black Hole Microstates
• Non-Supersymmetric Attractors
• Supergravity Microstates for BPS Black Holes and Black Rings
• Bubbling Supertubes and Foaming Black Holes
• Exact solutions for supersymmetric stationary black hole composites
• Split States, Entropy Enigmas, Holes and Halos
• Quantum Quivers and Hall/Hole Halos
• The Weak Gravity Conjecture and Scalar Fields
• Black Rings
• Precision Counting of Small Black Holes
• D-branes, Categories and N=1 Supersymmetry
• Non-Supersymmetric Attractors in String Theory
• Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
• D-brane Deconstructions in IIB Orientifolds
• Witten Index and Wall Crossing
• Black Holes as Effective Geometries
• Wall-Crossing from Boltzmann Black Hole Halos
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Hartle-Hawking Wave-Function for Flux Compactifications
• Mergers and Typical Black Hole Microstates
• Black Rings in Taub-NUT
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Four Dimensional Black Hole Microstates: From D-branes to Spacetime Foam
• Static supersymmetric black holes in AdS_4 with spherical symmetry
• First-order flow equations for extremal black holes in very special geometry
• Comments on the Spectrum of CHL Dyons
• Quantizing N=2 Multicenter Solutions
• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• Merging the Weak Gravity and Distance Conjectures Using BPS Extremal Black Holes
• Mirror symmetry for open strings
• Baby Universes in String Theory
• Supersymmetric 4D Rotating Black Holes from 5D Black Rings
• Dying Dyons Don't Count
• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Almost BPS black holes
• D-instantons and twistors
• Exact Attractive Non-BPS STU Black Holes
• Disordered Quivers and Cold Horizons
• Non-BPS Black Rings and Black Holes in Taub-NUT
• Extremal black holes, nilpotent orbits and the true fake superpotential
• Non-extremal Black Hole Microstates: Fuzzballs of Fire or Fuzzballs of Fuzz ?
• State Operator Correspondence and Entanglement in AdS_2/CFT_1
• Supersymmetric Solutions in Six Dimensions: A Linear Structure
• 5D Black Rings and 4D Black Holes
• Exploring the relation between 4D and 5D BPS solutions
• Microstates of the D1-D5-KK System
• Magic Supergravities, N= 8 and Black Hole Composites
• Scaling BPS Solutions and pure-Higgs States
• The Foaming Three-Charge Black Hole
• Twistors and Black Holes
• A fixed point formula for the index of multi-centered N=2 black holes
• The Enhancon and the Consistency of Excision
• A bound on the entropy of supergravity?
• U-duality and non-BPS solutions
• Quantum Attractor Flows
• From Black Holes to Quivers
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• Wall-crossing from supersymmetric galaxies
• A C-Function For Non-Supersymmetric Attractors
• Twistor Approach to String Compactifications: a Review
• Two Centered Black Holes and N=4 Dyon Spectrum
• Spectral Flow, and the Spectrum of Multi-Center Solutions
• Brane Effective Actions, Kappa-Symmetry and Applications
• Multi-Center non-BPS Black Holes - the Solution
• Stability and duality in N=2 supergravity
• New Attractors, Entropy Function and Black Hole Partition Function
• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• Black Holes Lessons from Multipole Ratios
• Finiteness and the Swampland
• Non-extremal black holes of N=2, d=4 supergravity
• Gravitational Footprints of Black Holes and Their Microstate Geometries
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• Static BPS Black Holes in AdS4 with General Dyonic Charges
• AdS${}_2$ Holography: Mind the Cap
• Interacting non-BPS black holes
• 4d/5d Correspondence for the Black Hole Potential and its Critical Points
• Black Hole Deconstruction
• On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants
• Moulting Black Holes
• Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
• Nernst branes in gauged supergravity
• Fuzzball Shadows: Emergent Horizons from Microstructure
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Constituent Model of Extremal non-BPS Black Holes
• Curved BPS domain wall solutions in four-dimensional N=2 supergravity
• Supersymmetric N=2 Einstein-Yang-Mills monopoles and covariant attractors
• Holographic RG flow dual to attractor flow in extremal black holes
• Bubbles on Manifolds with a U(1) Isometry
• Quiver Invariants from Intrinsic Higgs States
• Octonionic black holes
• BPS black holes in N=2 D=4 gauged supergravities
• Metastable Supertubes and non-extremal Black Hole Microstates
• Freudenthal Duality and Generalized Special Geometry
• Attractors and Black Rings
• The Enhancon, Black Holes, and the Second Law
• Bound state transformation walls
• Multiple D3-instantons and mock modular forms I
• Black hole entropy functions and attractor equations
• Infinite Distances and the Axion Weak Gravity Conjecture
• A systematic construction of microstate geometries with low angular momentum
• Supersymmetry, attractors and cosmic censorship
• Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Mechanics
• A nAttractor Mechanism for nAdS(2)/nCFT(1) Holography
• Framed BPS States, Moduli Dynamics, and Wall-Crossing
• Attractors in Black
• Non-perturbative superpotentials across lines of marginal stability
• Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence
• Four-center bubbled BPS solutions with a Gibbons-Hawking base
• Wall Crossing, Quivers and Crystals
• Smooth Bubbling Geometries Without Supersymmetry
• Tunneling into Microstate Geometries: Quantum Effects Stop Gravitational Collapse
• First-order flows and stabilisation equations for non-BPS extremal black holes
• Constructing AdS_2 flow geometries
• Hot Halos and Galactic Glasses
• Moduli and (un)attractor black hole thermodynamics
• Ab Initio Wall-Crossing
• Static BPS black holes in U(1) gauged supergravity
• No entropy enigmas for N=4 dyons
• Precision Microstate Counting of Small Black Rings
• Subleading and non-holomorphic corrections to N=2 BPS black hole entropy
• Four ways across the wall
• A One Parameter Family of Calabi-Yau Manifolds with Attractor Points of Rank Two
• H-FGK formalism for black-hole solutions of N=2, d=4 and d=5 supergravity
• The Entropy of 4D Black Holes and the Enhancon
• The Hesse potential, the c-map and black hole solutions
• Instantons, black holes and harmonic functions
• Effects of brane-flux transition on black holes in string theory
• Semiclassical framed BPS states
• Two-Center Black Holes Duality-Invariants for stu Model and its lower-rank Descendants
• 4d N=2 Gauge Theories and Quivers: the Non-Simply Laced Case
• Bolting Multicenter Solutions
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• Floating JMaRT
• The Cheshire Cap
• Rare Decay Modes of Quarter BPS Dyons
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• Half--Hypers and Quivers
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• Small Black Hole Explosions
• A bubbling bolt
• The mixed black hole partition function for the STU model
• Linear Sigma Models for Open Strings
• Two-Centered Magical Charge Orbits
• Genus Two Surface and Quarter BPS Dyons: The Contour Prescription
• Supergoop Dynamics
• Lifshitz-like solutions with hyperscaling violation in ungauged supergravity
• Refined Black Hole Ensembles and Topological Strings
• Qubits from extra dimensions
• Spin liquid to spin glass crossover in the random quantum Heisenberg magnet
• Single-centered black hole microstate degeneracies from instantons in supergravity
• A note on smeared branes in flux vacua and gauged supergravity
• Lectures on Spectrum Generating Symmetries and U-duality in Supergravity, Extremal Black Holes, Quantum Attractors and Harmonic Superspace
• Supergravity description of spacetime instantons
• On walls of marginal stability in N=2 string theories
• Negative discriminant states in N=4 supersymmetric string theories
• Rigid limit for hypermultiplets and five-dimensional gauge theories
• Long Range Forces and Supersymmetric Bound States
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• The dark (BPS) side of thermodynamics in Minkowski${}_4$
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• Dualities Near the Horizon
• Dyonic black holes at arbitrary locations
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• Abelianization of BPS Quivers and the Refined Higgs Index
• Hitchin functionals are related to measures of entanglement
• Four-derivative couplings and BPS dyons in heterotic CHL orbifolds
• Scattering diagrams, stability conditions, and coherent sheaves on ${\mathbb{P}}^2$
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• Imaging Higher Dimensional Black Objects
• Stability of flux vacua in the presence of charged black holes
• New instability of non-extremal black holes: spitting out supertubes
• Mixed Rademacher and BPS Black Holes
• A gravitating Yang-Mills instanton
• Two-Center Black Holes, Qubits and Elliptic Curves
• Open String Attractors
• Generalized quiver mutations and single-centered indices
• Dyonic black hole degeneracies in $\mathcal{N}=4$ string theory from Dabholkar-Harvey degeneracies
• Rotating black holes, global symmetry and first order formalism
• Black Holes as Probes of Moduli Space Geometry
• The attractor mechanism as a distillation procedure
• Deconstructing the D0-D6 system
• The elliptic genus from split flows and Donaldson-Thomas invariants
• Multiple D4-D2-D0 on the Conifold and Wall-crossing with the Flop
• The Kahler Cone as Cosmic Censor
• Superpotentials for M-theory on a G_2 holonomy manifold and Triality symmetry
• Special Geometry, Hessian Structures and Applications
• Cargese lectures on string theory with eight supercharges
• Topics in Cubic Special Geometry
• Superconformal mechanics of AdS${}_2$ D-brane boundstates
• The structure of all the supersymmetric solutions of ungauged N = (1,0),d=6 supergravity
• Phases of non-extremal multi-centered bound states
• Anomalous Dimensions of Heavy Operators from Magnon Energies
• Duality covariant multi-centre black hole systems
• A new wrinkle on the enhancon
• BPS D0-D6 Branes in Supergravity
• Mechanics and Quantum Supermechanics of a Monopole Probe Including a Coulomb Potential
• Complex structure moduli stability in toroidal compactifications
• Almost BPS but still not renormalized
• Quiver indices and Abelianization from Jeffrey-Kirwan residues
• The full space of BPS multicenter states with pure D-brane charges
• Conservative Scattering of Reissner-Nordström Black Holes at Third Post-Minkowskian Order
• Bound states of spinning black holes in five dimensions
• On anharmonic stabilisation equations for black holes
• Black Holes and the Swampland: the Deep Throat revelations
• Flux Attractors and Generating Functions
• Scaling Black Holes and Modularity
• Restrictions on infinite sequences of type IIB vacua
• Nilpotent orbits in real symmetric pairs and stationary black holes
• BPS Spectrum, Indices and Wall Crossing in N=4 Supersymmetric Yang-Mills Theories
• Supersymmetric Rotating Black Hole in a Compactified Spacetime
• The gravitational index of 5d black holes and black strings
• Heating up branes in gauged supergravity
• Multi-centered black holes, scaling solutions and pure-Higgs indices from localization
• Dyon dynamics near marginal stability and non-BPS states
• Metastable Flux Configurations and de Sitter Spaces
• A Study of Wall-Crossing: Flavored Kinks in D=2 QED
• Instantons and Wormholes in N=2 supergravity
• Supersymmetric N=2 gauge theory with arbitrary gauge group
• BPS Dendroscopy on Local $P^2$
• On the internal structure of dyons in $\mathcal{N}=4$ super Yang-Mills theories
• Black Hole Entropy, Marginal Stability and Mirror Symmetry
• Small Black Hole Constituents and Horizontal Symmetry
• Developments in special geometry
• Supersymmetric black holes and $T\bar{T}$ deformation
• Black Hole Bound State Metamorphosis
• Black hole solutions of N=2, d=4 supergravity with a quantum correction, in the H-FGK formalism
• Non-supersymmetric Extremal RN-AdS Black Holes in N=2 Gauged Supergravity
• Orientiholes
• Effective action for the field equations of charged black holes
• Unlocking the Axion-Dilaton in 5D Supergravity
• Closed Sub-Monodromy Problems, Local Mirror Symmetry and Branes on Orbifolds
• Supersymmetry and Wrapped Branes in Microstate Geometries
• Wall Crossing from Dirac Zeromodes
• Black Holes and Fourfolds
• Quaternionic Kaehler Detour Complexes & N=2 Supersymmetric Black Holes
• Non-Abelian Supertubes
• BPS dyons and Hesse flow
• Multi-centered rotating black holes in Kaluza-Klein theory
• AdS4 black holes from M-theory
• Mock modularity from black hole scattering states
• Stationary $D=4$ Black Holes in Supergravity: The Issue of Real Nilpotent Orbits
• The supersymmetric black holes of N=8 supergravity
• Camouflaged Supersymmetry
• First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity
• Multi-Centered Black Hole Flows
• Evidence for Duality of Conifold from Fundamental String
• non-BPS walls of marginal stability
• Holographic Coulomb Branch Solitons, Quasinormal Modes, and Black Holes
• Quantum Black Hole Entropy, Localization and the Stringy Exclusion Principle
• Mock Modular Index of M2-M5 Brane System
• A classification of supersymmetric Kaluza-Klein black holes with a single axial symmetry
• Flows of Extremal Attractor Black Holes
• Interpolating between multi-center microstate geometries
• Generating new $N=2$ small black holes
• Landau-Ginzburg Description of D-branes on ALE Spaces
• Distributions of extremal black holes in Calabi-Yau compactifications
• Refinement and modularity of immortal dyons
• Mock modularity at work, or black holes in a forest
• Wall Crossing Structures and Application to SU(3) Seiberg-Witten Integrable system
• On the existence of scaling multi-centered black holes
• Pure-Higgs states from the Lefschetz-Sommese theorem
• More Bubbling Solutions
• Instanton Corrected Non-Supersymmetric Attractors
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• Multi-Centered First Order Formalism
• Supersymmetry and cosmic censorship
• More Rings to rule them all : Fragmentation, 4D/5D and Split-Spectral Flows
• Multi-Centered Invariants, Plethysm and Grassmannians
• Decay channels for double extremal black holes in four dimensions
• A twist on multicenter AdS${}_2$ solutions
• On the Stability of Non-Supersymmetric Quantum Attractors in String Theory
• The quantum $p$-spin glass model: A user manual for holographers
• Supersymmetric Branes in Generic M-Theory Attractor Geometries
• Half-flat Quantum Hair
• The Weak Gravity Conjecture and BPS Particles
• Attractor Flows from Defect Lines
• Stability of BPS States and Weak Coupling Limits
• Elliptic genera from multi-centers
• Near-Horizon geometry from flux compactification
• Evolutionary algorithms for multi-center solutions
• Attractors with Large Complex Structure for One-Parameter Families of Calabi-Yau Manifolds
• M5-brane prongs, string soliton bound states and wall-crossing
• On Symmetries of Extremal Black Holes with One and Two Centers
• Split Flows in Bubbled Geometries
• New supersymmetric black holes in four dimensional N=2 supergravity
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model
• Supersymmetric Black Holes in AdS4 from Very Special Geometry
• A Black Hole Levitron
• On the Search for Multicenter AdS Black Holes from M-theory
• Black Ring Deconstruction
• Exact Non-Abelian Supertubes
• Black Holes in Supergravity: the non-BPS Branch
• Attractor Flow Versus Hesse Flow in Wall-Crossing Structures
• Towards the Core of the Quantum Monopole
• A T-Fold Black Hole in Doubled Type IIB
• Non-BPS Black holes in N=4 Supersymmetric Yang-Mills Theory Coupled to Gravity
• Instability of Near-Extremal Black Holes in N=2, d=4 Supergravity
• Center Symmetry Breaking in Calabi--Yau Compactifications
• Black Holes and Rings of minimal 5-dim. Supergravity